减少视频表示所需存储空间的奇异值分解

A. S. Talita, Dewi Anggraini Puspa Hapsari, S. Madenda
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引用次数: 0

摘要

由于存储和通信带宽的限制,出现了像视频压缩这样的数据压缩需求。视频是数字图像序列,其中数字图像可以表示为矩阵。其中一种可以在任何矩阵上实现的矩阵分解是奇异值分解(SVD)。在低秩奇异值分解的情况下,我们选择一个较小的秩值的新逼近图像,以减少其所需的存储容量。当我们通过保存SVD结果的新表示而不是原始表示来保存图像时,理论上矩阵表示的秩越小,文件的大小就越小。本研究的实验结果表明,通过选择文本文件格式保存必要的数据,对视频数据样本帧的压缩比为2.6182。
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Singular Value Decomposition on Reducing Required Storage Space of Video Representation
: The needs of data compression as in video compression emerge due to limitation of storage and communication bandwidth. Video is a sequence of digital images, where the digital images can be represented as matrices. One of the matrix factorization that is possible to be implemented on any matrix is Singular Value Decomposition (SVD). On low rank SVD, we choose a smaller value of rank of the new approximation image to reduce its necessary storage capacity. When we save the images in the storage by saving the new representation from SVD results other than the original representation, theoretically with smaller rank of the matrix representation will results in smaller size of file. The experiment result on this research gives a compression ratio 2.6182 on a sample frame of the video data by choosing text file format to save the necessary data.
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